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Simplifying 25x2 + -25x + 15 = 29 Reorder the terms: 15 + -25x + 25x2 = 29 Solving 15 + -25x + 25x2 = 29 Solving for variable 'x'. Reorder the terms: 15 + -29 + -25x + 25x2 = 29 + -29 Combine like terms: 15 + -29 = -14 -14 + -25x + 25x2 = 29 + -29 Combine like terms: 29 + -29 = 0 -14 + -25x + 25x2 = 0 Factor a trinomial. (-2 + -5x)(7 + -5x) = 0Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve: Simplifying -2 + -5x = 0 Solving -2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 0 + 2 -5x = 0 + 2 Combine like terms: 0 + 2 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4Subproblem 2
Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Solution
x = {-0.4, 1.4}
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